Question

A firm's current profits are $400,000. These profits are expected to grow indefinitely at a constant annual rate of 4 percent. If the firm's opportunity cost of funds is 6 percent, determine the value of the firm: Instructions: Enter your responses rounded to one decimal place. a. The instant before it pays out current profits as dividends. $ million b. The instant after it pays out current profits as dividends. $ million

Answer 1

A. $21,200,000

B. $20,800,000

Step-by-step explanation:

A. Calculation to determine The instant before it pays out current profits as dividends

Value of the firm =[(Current profits) × (1 +Opportunity cost of funds)} ÷ (Opportunity cost of funds - Constant growth annual rate)

Let plug in the formula

Value of the firm= [($400,000) × (1 + 0.06)]÷ (0.06 - 0.04)

Value of the firm= [($400,000) × (1.06)]÷0.02

Value of the firm= $424,000 ÷ 0.02

Value of the firm= $21,200,000

Therefore The instant before it pays out current profits as dividends will be $21,200,000

B. Calculation to determine The instant after it pays out current profits as dividends

Using this formula

Value of the firm =[(Current profits) × (1 +Constant growth annual rate)} ÷ (Opportunity cost of funds - Constant growth annual rate)

Let plug in the formula

Value of the firm= [($400,000) × (1 + 0.04)] ÷ (0.06 - 0.04)

Value of the firm= [($400,000) × (1.04)] ÷ (0.06 - 0.04)

Value of the firm= $416,000 ÷ 0.02

Value of the firm= $20,800,000

Therefore The instant after it pays out current profits as dividends will be $20,800,000